-distance in a general topological space with application to fixed point theory.
The aim of this paper is to present new existence results for -Laplacian boundary value problems with linear bounded operator conditions. Existence theorems are obtained using the Schauder and the Krasnosel’skii fixed point theorems. Some examples illustrate the results obtained and applications to multi-point boundary value problems are provided.
In this paper, we generalize the concept of -multipliers on Banach algebras to a class of topological algebras. Then the characterizations of -multipliers are investigated in these algebras.
The -weighted Besov spaces of holomorphic functions on the unit ball in are introduced as follows. Given a function of regular variation and , a function holomorphic in is said to belong to the Besov space if where is the volume measure on and stands for the fractional derivative of . The holomorphic Besov space is described in the terms of the corresponding space. Some projection theorems and theorems on existence of the inversions of these projections are proved. Also,...